Activity

In the earlier Lesson Activity, you found the sizes of mesoplankton and jellyfish. In this activity, you'll determine the most appropriate units for.

measuring the sizes of mesoplankton and jellyfish.

Part A

Earlier, you found the size of a mesoplankton to be 2 x 102 meter. Do you think that meters are the most appropriate unit to represent the size

of a mesoplankton? If not, what do you think would be the most appropriate unit? Write the size of a mesoplankton in the most appropriate unit.

Answers

Answer 1

Answer:

No.

The most appropriate unit to measure the mesoplankton is centimeter.

The size is 2 cm.

Step-by-step explanation:

Earlier, you found the size of a mesoplankton to be [tex]2 \times 10^{-2}[/tex] meter.

I think that meters are not the most appropriate unit to represent the size of a mesoplankton.

The most appropriate unit to measure the mesoplankton is centimeter.

Now, 1 meter is equivalent to 100 centimeters.

So, the size of the mesoplankton in centimeter units will be [tex]2 \times 10^{-2} \times 100 = 2[/tex] cm. (Answer)

Answer 2

Final answer:

Meters are not the most appropriate unit for the size of a mesoplankton; millimeters are more suitable considering the small size of these organisms. The size 2 x 10² meters seems to be a typo and should likely be a much smaller value, such as 2 millimeters.

Explanation:

No, meters are not the most appropriate unit to represent the size of a mesoplankton. Considering that a mesoplankton is quite small, much smaller than objects like a piece of paper or a human's wingspan, using meters would not provide a practical or convenient measurement scale.

Since mesoplankton are small, it is important to think about units that are suitable for measuring very small objects. Given the metric units millimeters and centimeters are the next best alternatives. In this case, centimeters, being smaller than meters are a better match for the size of mesoplankton, but even centimeters might be too large.

Therefore, the most appropriate unit of measurement for the size of a mesoplankton is likely to be in millimeters. Therefore, 2 x 10^2 meters (200 meters) appears to be a typo, as mesoplankton would typically measure less than 2 centimeters. Assuming the intended measurement was supposed to be much smaller, converting to millimeters would be the best approach. An actual mesoplankton might measure around 2 millimeters, though this is just an example since the original measurement given seems incorrect.


Related Questions

Explain the steps you could use to solve 3y+6=30 to find y.

Answers

Answer:

y = 8

Step-by-step explanation:

remove the constant, 6:

3y=24

divide both by 3. leave x by itself

3y/3=24/3

y = 8

do these steps and you can do these easily

The solution to the equation 3y + 6 = 30 is y = 8.

To solve the equation 3y + 6 = 30 and find the value of y, we need to isolate the variable y on one side of the equation by performing various operations. Here are the steps to solve the equation:

Step 1: Begin with the given equation:

3y + 6 = 30

Step 2: Subtract 6 from both sides of the equation to move the constant term to the other side:

3y + 6 - 6 = 30 - 6

3y = 24

Step 3: Divide both sides of the equation by 3 to isolate the variable y:

(3y)/3 = 24/3

y = 8

Step 4: Verify the solution by substituting the value of y back into the original equation:

3(8) + 6 = 30

24 + 6 = 30

30 = 30

Since the equation is true, we can conclude that the solution to the equation 3y + 6 = 30 is y = 8. By performing the necessary operations, we successfully isolated the variable y and found its value that satisfies the original equation.

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HELP NEED HELP ASAP! Find the zeros or roots for the quadratic expression 2x^2-8x-10 must show all work

Answers

Answer:

5 and - 1

Step-by-step explanation:

2x^2-8x-10=0

a=2,b=-8,c=-10

x1=(-b+sqrt(b^2-4ac))/2a

x1 =(-(-8)+sqrt ((-8)^2-4*2*(-10))/2*2

x1=(8+sqrt (64+80))/4

x1 =(8+sqrt (144))/4

x1=(8+12)/4

x1=20/4

x1 =5

x2=(-b-sqrt(b ^2-4ac)) /2 *a

x2=(8-12)/4

x2=-4/4

x2=-1

Solve for t.
2t? + 11t + 15 = 0
Write each solution as an integer, proper fraction, or improper fraction in simplest form. If
there are multiple solutions, separate them with commas.

Answers

Answer:1/2

Simplified

Step-by-step explanation:

Greatest Common Divisor (GCD) =2

Divide by GCD =

2 ÷ 2

4 ÷ 2

Greatest Common Divisor (GCD) =2

Divide by GCD =

2 ÷ 2

4 ÷ 2

Simplified =

1/2

Use the set of data to calculate the measures that follow.


0, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 6


Choose each correct measure.


Mean =

Median =

Range =

Interquartile range =

Answers

Answer:

Mean=3.5Median=3.5Range=6Interquartile=1

Step-by-step explanation:

Given set of data is 0, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 6

To find Mean , Median , Range and Interquartile range :

First finding Mean

[tex]Mean=\frac{sum of the observations}{number of observations}[/tex][tex]=\frac{0+2+3+3+3+3+3+4+4+4+4+5+5+6}{14}[/tex][tex]=\frac{49}{14}[/tex][tex]=\frac{7}{2}[/tex][tex]=3.5[/tex]Therefore Mean=3.5Median:Since the number of observations is even, so the meadian becomes [tex]Median=\frac{sum of the two mid terms}{2}[/tex][tex]=\frac{3+4}{2}[/tex][tex]=\frac{7}{2}[/tex][tex]=3.5[/tex]Therefore Median=3.5Range:Range=greatest value-least valueIn the given observations we have greatest value is 6 and least value is 0Therefore Range=6-0Therefore Range=6Interquartile:From the observations we have [tex]Q_1=3[/tex] and [tex]Q_3=4[/tex][tex]Interquartile=Q_3-Q_1[/tex][tex]=4-3[/tex]Therefore Interquartile=1

Answer:

Mean: 3.5

Median: 3.5

Range: 6

Interquartile range: 1

Step-by-step explanation:

Español
Amy received a $90 gift card for a coffee store. She used it in buying some coffee that cost $8.64 per pound. After buying
the coffee, she had $55.44 left on her card. How many pounds of coffee did she buy?

Answers

Answer:

4 pounds

Step-by-step explanation:

8.64(4) is 34.56+55.44=90

Answer:

Amy bought 4 pounds of coffee.

Step-by-step explanation:

To begin, subtract what she has left, $55.44, from what she began with with, $90. That equation looks like: 90 - 55.44 = 34.56

Now divide $34.56 by the cost of each pound of coffee, $8.64. That equation looks like: 34.56 ÷ 8.64 = 4

So your answer is 4. Amy bought 4 pounds of coffee.

Which expressions are equivalent to 7⋅7⋅7⋅7⋅7⋅7
SELECT 2 Answers
It's FROM KHAN academy

Answers

Answer:

Step-by-step explanation:

One equivalent expression is 7^6:  7 is used as a multiplicand 7 times.

Another equivalent expression would be (7^2)(7^5).  Note that 2 and 5 add up to 7.

[tex]\text{Hey there!}[/tex]

[tex]\mathsf{7\times7\times7\times7\times7\times7= \ ?}\\\mathsf{49\times49\times49= \ \ ?}\\\mathsf{2,401\times49= 11,649}\\\\\\\\\boxed{\boxed{\mathsf{Answer\ \#1: 11,649}}}\checkmark[/tex]

[tex]\mathsf{Since\, we\ have\ SIX\ 7\, \we \ can\ have\ 7\ raised\ to\ the\ 6^{th}\ power}[/tex][tex]\mathsf{.\ Because, they all equal to\ 7\times7\times7\times7\times7\times7}[/tex]

[tex]\boxed{\boxed{\mathsf{Answer\#2: 7^6}}}[/tex]

[tex]\mathsf{Thus\ your\ answers\ are\downarrow}\\\\\bullet\ \boxed{\mathsf{Answer \ \#1: 11,649}}]\checkmark\\\\\bullet\ \boxed{\mathsf{Answer\ \#2: 7^6}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\dfrac{\frak{LoveYourselfFirst}}{:)}[/tex]

This is an angle having a measure greater than 90° and up to 180°.

Answers

Answer:

obtuse

Step-by-step explanation:

Answer:

Obtuse Angle

Step-by-step explanation:

Obtuse Angle:

An obtuse angle is greater than 90 and less than 180, therefore it's a obtuse angle.

Write the equation of a line in slope-intercept form whose slope is 6 and y-intercept is -7

Answers

Answer:

y = 6x - 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 6 and c = - 7, thus

y = 6x - 7 ← equation of line

Final answer:

The equation of the line with a slope of 6 and y-intercept of -7 is y = 6x - 7.

Explanation:

The equation of a line in slope-intercept form is y = mx + b, where m represents the slope and b is the y-intercept. In this case, we are given a slope (m) of 6 and a y-intercept (b) of -7. Thus, by substituting these values into the slope-intercept formula, we get the equation of the line as y = 6x - 7.

Calculate y' using chain rule. y = (e ^ (1 / x))/(x ^ 2)

Answers

Answer:

The answer is [tex]y^{'} =e^{\frac{1}{x} } (2x-1)[/tex]

Step-by-step explanation:

First of all, we have product of 2 functions [tex]e^{1/x}[/tex] and [tex]x^{2}[/tex]

[tex]y^{'} =u\frac{dv}{dx}+v\frac{du}{dx}[/tex]

Let [tex]u=e^{1/x}[/tex] and [tex]v=x^{2}[/tex]

using chain rule for [tex]u[/tex], [tex]\frac{du}{dx}=-\frac{1}{x^2}[/tex]

and [tex]\frac{dv}{dx}=2x[/tex]

Therefore,

[tex]y^{'} =u\frac{dv}{dx}+v\frac{du}{dx}=e^{1/x}(2x)+x^{2} (-\frac{1}{x^2})=e^{1/x}(2x-1)[/tex]

What percent of 320 is 64

Answers

Answer:  If you are using a calculator, simply enter 64÷320×100 which will give you 20 as the answer.

Step-by-step explanation: Hope it helps:)

and tryna mark a child brainlest ;)

Answer:

20%

Step-by-step explanation:

64/320=0.2

0.2*100=20%

At a fruit stand, for every 5 apples sold there are 4 oranges sold what is the ratio of oranges sold to apples sold

Answers

Answer:  4:5

Step-by-step explanation:

oranges=4

apples=5

4 oranges to 5 apples

Answer:

5 apples to 4 oranges

Step-by-step explanation:

ratios are easy

Write the equation of a line in slope intercept form that contains the points (0,2) and (3,4)

Answers

Answer:

Step-by-step explanation:

Generally equation of a line is given as

y=mx+c

Then given the point (x, y)=(0,2)

Therefore x=0 and y=2

y=mx+c

2=m×0+c

2=0+c

Then, c=2

Then intercept is 2

Also given the point (x, y)=(3,4)

x=3 and y=4 and c=2

y=mx+c

4=m×3+2

4=3m+2

4-2=3m

2=3m

Then, m=2/3

Then, the slope of the graph is 2/3

y=mx+c

Now, m=2/3 and c=2

The general equation of the line becomes

y=2/3x+2

Multiply through by 3

3y=2x+6

Then this is the equation of the line

What is the perimeter and area of the shape given?

Answers

The perimeter of the given shape is 63.50 units and its area is 170.625 square units.

Step-by-step explanation:

Step 1:

First, we need to determine the distance between each of the points in the shape ABCDEFGH.

There are vertical lines and horizontal lines. The distances between vertical lines are found by calculating the difference in y values while for horizontal lines, the distances are found by calculating the difference between the x values.

Step 2:

Distance of line AB, 15 - 4.5 = 10.5,

Distance of line BC, 14 - 8 = 6,

Distance of line CD, 15 - 10 = 5,

Distance of line DE, 8 - 3 = 5,

Distance of line EF, 15 - 10 = 5,

Distance of line FG, 3 - (-2.25) = 5.25,

Distance of line GH, 15 - 4.5 = 10.5 and

Distance of line AH, 14 - (-2.25) = 16.25.

Step 3;

The area of ABCDEFGH = The area of ABGH - the area of CDEF.

The area of ABGH = Length × Width = AH × AB = 16.25 × 10.5 = 170.625 square units.

The area of CDEF = Length × Width = CD × DE = 5 × 5 = 25 square units.

The area of ABCDEFGH = 170.625 - 25 = 145.625 square units.

Step 4:

The perimeter of shape ABCDEFGH is just the sum of all its lines.

Perimeter of ABCDEFGH = 10.5 + 6 + 5 + 5 + 5 + 5.25 + 10.5 + 16.25 = 63.50 units.

1. Find the inverse functions of the following
a. f (x) = 5x +3

Answers

Answer:

y = 5x + 3

x = 5y + 3

5y + 3 = x

5y = x - 3

y = x/5 - 3/5

f^-1(x) = x/5 - 3/5

Step-by-step explanation:

Lee saves $85.75. She uses $32.95 of the money to buy a baseball glove. She also wants to buy a camera that costs $58.99. How much more money does Lee need?

Answers

Answer:

6. 19

Step-by-step explanation:

Answer:

6.19

Step-by-step explanation:

85.75-32.95=52.8

58.99-52.8=6.19

Mohamed and Li Jing were asked to find an explicit formula for the sequence -5, -25, -125, -625,....
Mohamed said the formula is g(n) = -5.5", and
Li Jing said the formula is g(n) = -5.50 -1.
Which one of them is right?

Answers

Answer:

Li Jing's formula i.e.  [tex]\boxed{g_n=-5\cdot \:5^{n-1}}[/tex]  is right.

Step-by-step explanation:

Considering the sequence

[tex]-5,\:-25,\:-125,\:-625,...[/tex]

A geometric sequence has a constant ratio r and is defined by

[tex]g_n=g_0\cdot r^{n-1}[/tex]

[tex]\mathrm{Compute\:the\:ratios\:of\:all\:the\:adjacent\:terms}:\quad \:r=\frac{g_{n+1}}{g_n}[/tex]

[tex]\frac{-25}{-5}=5,\:\quad \frac{-125}{-25}=5,\:\quad \frac{-625}{-125}=5[/tex]

[tex]\mathrm{The\:ratio\:of\:all\:the\:adjacent\:terms\:is\:the\:same\:and\:equal\:to}[/tex]

[tex]r=5[/tex]

So, the sequence is geometric.

as

[tex]\mathrm{The\:first\:element\:of\:the\:sequence\:is}[/tex]

[tex]g_1=-5[/tex]

[tex]r=5[/tex]

so

[tex]g_n=g_1\cdot r^{n-1}[/tex]

[tex]\mathrm{Therefore,\:the\:}n\mathrm{th\:term\:is\:computed\:by}\:[/tex]

[tex]g_n=-5\cdot \:5^{n-1}[/tex]

Therefore, Li Jing's formula i.e.  [tex]\boxed{g_n=-5\cdot \:5^{n-1}}[/tex]  is right.

397,864 to the nearest thousand

Answers

Answer:

398,000 is your answer.

Step-by-step explanation:

you round up at the 1000s place

The number 397,864 rounded to the nearest thousand is 398,000.

Explanation:

Rounding 397,864 to the nearest thousand means finding the closest whole number that is a multiple of 1,000. The thousands place digit is 7, so we look at the digit to the right of it, which is 8. Since 8 is greater than 5, we round up the thousands place digit to 8, and the rest of the digits become zeros. Therefore, 397,864 rounded to the nearest thousand is 398,000.

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1. A person owns a collection of 30 CDs, of which 5 are country music. If 2 CDs are selected at
random, find the probability that both are country music.

Answers

Answer:

Step-by-step explanation:

Sunflower can u please come answer my question next it says

HELP ASAP WILL GIVE BRAINLIEST PLEASE IM DESPERATE!!!!!!!

The probability that both are country music is 2/87.

What is probability?

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.

Given that,

Number of CDs = 30

Number of country music CDs = 5

Now , at first when 1st CD is selected

Probability (1st), P(1st) = 5/30 = 1/6

After selecting 1st CD,

Total CDs left will be 29

Number of country music CD= 4

So, for 2nd CD selection,

Probability (2nd), P(2nd) = 4/291

Hence the required probability,

P(1st∩2nd) = P(1st) x P(2nd)

                  = 1/6 x 4/29

                  = 2/87

Hence,the probability that both are country music is 2/87.

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What is the horizontal asymptote of the rational function f(x) = 3x / (2x - 1)?

Answers

Answer:

Step-by-step explain

Find the horizontal asymptote for f(x)=(3x^2-1)/(2x-1) :

A rational function will have a horizontal asymptote of y=0 if the degree of the numerator is less than the degree of the denominator. It will have a horizontal asymptote of y=a_n/b_n if the degree of the numerator is the same as the degree of the denominator (where a_n,b_n are the leading coefficients of the numerator and denominator respectively when both are in standard form.)

If a rational function has a numerator of greater degree than the denominator, there will be no horizontal asymptote. However, if the degrees are 1 apart, there will be an oblique (slant) asymptote.

For the given function, there is no horizontal asymptote.

We can find the slant asymptote by using long division:

(3x^2-1)/(2x-1)=(2x-1)(3/2x+3/4-(1/4)/(2x-1))

The slant asymptote is y=3/2x+3/4

Answer:

y = 3/2.

Step-by-step explanation:

This is  the ratio of the coefficients of the terms in x of highest degree of the function:

y  = 3/2.

What figure is a dilation of Figure A by a factor of 12?

Answers

Answer:

Option C is correct.

Step-by-step explanation:

The rule of dilation implies that when a figure is dilated by a scale factor of 1/2, the length of the sides of the image can be obtained by multiplying the sides of the original figure/object by 1/2.

For example, if the length of a side of a segment is 6 and is dilated by a scale factor of 1/2. The length of the image segment will be 6/2 or 3/2. i.e. the original length 6 of the segment is multiplied by 1/2 to get the image segment 3/2.

Other important thing to consider is when the scale factor to be multiplied is less than 1, than the image will be smaller, but if the scale factor to be multiplied is greater than 1, than the image will be larger.

Now, coming towards the question and lets dilate the sides of the figure A by a scale factor of 1/2.

The length of the side 5 in will have its image with length 2.5 in.

        i.e. 5/2= 2.5

The length of the side 2 in will have its image with length 1 in.

        i.e. 2/2 = 1

The length of the side 4 in will have its image with length 2 in.

        i.e. 4/2 = 2

The length of the side 1 in will have its image with length 0.5 in.

        i.e. 1/2 = 0.5

Therefore, option C is correct.

Find equation that the model below represents

Answers

Answer:

5/6

Step-by-step explanation:

Solve for r.
3r = 36

Answers

Answer:

12

Step-by-step explanation:

3r = 36

3r/3 = 36/3

r = 12

Answer:

[tex]r = 12[/tex]

Step-by-step explanation:

[tex]3r = 36 \\ \frac{3r}{3} = \frac{36}{3} \\ r = 12[/tex]

Choose the expression that represents a cubic expression.
−7x + 14
7x2 − 5x + 6
8x3 − 7x2 − 6x + 5
9x4 + 8x3 − 6x2 − 2x + 11

Answers

Answer: 8x³ - 7x² - 6x + 5

Step-by-step explanation:

8x³ - 7x² - 6x + 5 is a cubic expression.

The variable is x

The variable x has highest power as 3.

8x³ - 7x² - 6x + 5 is a polynomial.

-7x + 4 is a linear expression because highest power of the variable x is 1.

7x² - 5x + 6 is a quadratic expression because the highest power of the variable x is 2.

9x^4 + 8x^3 - 6x^2 - 2x + 11 is a polynomial with the highest power of the variable being 4.

The expression that represents a cubic expression is 8x³ − 7x² − 6x + 5, as it contains the highest power of x raised to 3, making it a cubic polynomial.

A cubic expression is a type of polynomial with the highest degree term being raised to the power of 3. In mathematical terms, it is represented as f(x) = ax^3 + bx^2 + cx + d, where 'a' is the coefficient of the cubic term, 'b' is the coefficient of the quadratic term, 'c' is the coefficient of the linear term, and 'd' is the constant term.

Among the options provided:

- −7x + 14 is a linear expression as it contains only a single degree term (degree 1).

- 7x² − 5x + 6 is a quadratic expression as it contains a term with x^2 (degree 2).

- 8x³ − 7x² − 6x + 5 is indeed a cubic expression as it contains a term with x^3 (degree 3).

- 9x⁴ + 8x³ − 6x² − 2x + 11 is a quartic expression with the highest power of x being 4 (degree 4).

Therefore, the expression that represents a cubic expression is 8x³ − 7x² − 6x + 5, as it has the highest power of x equal to 3. Cubic expressions often appear in various mathematical and scientific contexts, including physics, engineering, and economics, and are characterized by their distinctive "S"-shaped curves on graphs.

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1. Spent nuclear fuel is
reactive.
O slightly
O highly

Answers

Answer: B) highly

Step-by-step explanation:

Answer: B. highly

Step-by-step explanation:

For f(x) = 4x+1 and g(x)=x^2-5 find (f + g)(x).

Answers

(f + g)(x) is x² + 4x - 4

Step-by-step explanation:

Step 1:

Given f(x) = 4x + 1, g(x) = x² - 5. Find (f+g)(x)

(f + g)(x) = f(x) + g(x) = 4x + 1 + x² - 5 = x² + 4x - 4

Write!!! and solve an equation to solve.For signing up for the rewards program at the pizzeria, Haley got a card with 15 points. For each pizza she orders, she earns 8 points. Once she hits 175 points, she gets a free pizza. How many pizzas will she need in order to get a free one?

Answers

answer: 20
Explanation: The equation is 175 - 15 (160) and then divide it by 8 (20)

Answer:

20

Step-by-step explanation:

felicia bought a watch for $149 she puts $50 down if she pays $9 each week how long will it take felicia to pay off her watch?

i need help

Answers

Answer:

11 weeks

Step-by-step explanation:

She bought the watch for $149

And paid $50 immediately.

She has $149-$50 left, which gives $99

If she pays $9 each week,

In two weeks, she would be paid $9+$9=$18

In three weeks $9+$9+$9=$27 then it will take her 99/9 weeks to pay off the watch

99/9

It will take her $11 to pay off the watch

Simplify the expression where possible.
(t^9)^-8

Answers

[tex]( {t}^{9} ) {}^{ - 8} \\ = t {}^{9 \times ( - 8)} \\ = {t}^{ - 72} [/tex]

Final answer:

The expression simplifies to [tex]1/t^72[/tex] by using exponent rules to multiply the exponents and then applying the rule for negative exponents.

Explanation:

To simplify the expression [tex](t^9)^-8[/tex] , you need to use the exponent rules.

Specifically, when you have a power raised to another power, you multiply the exponents.

Here, you have the base t raised to the 9th power, and then that result is raised to the -8th power.

The rule is: [tex](a^m)^n = a^(m*n).[/tex]

Applying this rule here gives us:

[tex]= (t^9)^-8[/tex]

[tex]= t^(9*-8)[/tex]

[tex]= t^-72.[/tex]

Since we are dealing with a negative exponent, the rule for negative exponents says that [tex]a^-n = 1/a^n.[/tex]

Therefore, our final simplified expression is [tex]1/t^72.[/tex]

What is subtracting fractions from mixed numbers for grade 4

Answers

Answer:

see below

Step-by-step explanation:

So when you have mixed numbers, you have to turn them into regular fractions. How you change them into regular fractions is multiplying the whole number by the denominator (the bottom number in the fraction) and then adding that number to the numerator (the top number in the fraction). So, for example you have

3[tex]\frac{2}{3}[/tex]

3 x 3 = 9

9 + 2 = 11

so, 3[tex]\frac{2}{3}[/tex] = [tex]\frac{11}{3}[/tex]

After you change the mixed fractions that you have into normal fractions, then you can normally subtract the two fractions. If they have the same denominator, then you just subtract the numerators like normal numbers and leave the denominators alone.

[tex]\frac{11}{3}[/tex] - [tex]\frac{2}{3}[/tex] = [tex]\frac{9}{3}[/tex]

If there are different denominators, then you have to multiply one or more fractions by any number so that both fractions have the same denominator.

For example,

[tex]\frac{11}{3}[/tex] - [tex]\frac{7}{6}[/tex]

you have to multiply [tex]\frac{11}{3}[/tex] by two, so that the denominator will equal six. This is the only way that you will be able to add or subtract the two fractions.

2([tex]\frac{11}{3}[/tex]) = [tex]\frac{22}{6}[/tex]

[tex]\frac{22}{6}[/tex] - [tex]\frac{7}{6}[/tex] = [tex]\frac{22-7}{6}[/tex] = [tex]\frac{15}{6}[/tex]

Then, if you are asked to, this fraction can be simplified if you divide both the denominator and the numerator by [tex]\frac{3}{3}[/tex], so

[tex]\frac{15}{6}[/tex] divided by [tex]\frac{3}{3}[/tex] is equal to [tex]\frac{5}{2}[/tex].

This works because [tex]\frac{3}{3}[/tex] = 1.

what does 0.1 X 9670 and 0.01 X 9670 equal to?

Answers

Answer:

See explaination

Step-by-step explanation:

Multiply 9670 by 0.1, you get 967

Multiply 9670 by 0.01, you get 96.7

Other Questions
1 Church architecture dominant in Byzantine periodThe conglomeration of the buildings of the Hagia Sophiaseem to rise in this shape3. In 1453, the Hagia Sophia was tumed into4 Muslims added these to the exterior of the Hagia Sophia5. A sacred image representation is called6 Exterior walls of Hagia Sophia are this7. Pendentives in the Hagia Sophia are this shape& Mosaics were created with small cubes of thisArtist uses this in the mosaic of Empress Theodora to createthe effect of draperyFresco painting eventually replaced this type of art, due to iIn Raising of Lazarus "the gap between Lazarus's corpseand the living Savior represents this12. He overthrew Constantinople in 1453 How would you describe (in general) the Lewis Dots Diagram for a Cation A temperature 20C abovefreezing 6.Potassium hydroxide (KOH) and hydrochloric acid (HCl) react in a beaker. They form potassium chloride (KCl) and water (H2O). What type of reaction is this? (2 points)Synthesis reactionDouble replacement reactionSingle replacement reactionDecomposition reaction In 2000, the total amount of a certain bird population (species of bird of paradise) was recorded at 47,000 in a city. In 2005, the same survey was made and the same bird population was estimated at 59,000. If the trend continues, in what year will the bird population reach 100,000? (Round to the nearest year) The structure of Sandal Mart consists of people with similar specialties put together in formal groups, such as the marketing, accounting, and human resource departments. Sandal Mart has a ________ structure. Estimated costs for activity cost pools and other item(s) are as follows: Machining $500000 Assembling 200000 Advertising 450000 Inspecting and testing 175000 Total estimated overhead isA. $875000. B. $1150000. C. $1325000. D. $700000. Two froghoppers sitting on the ground aim at the same leaf, located 35 cm above the ground. Froghopper A jumps straight up while froghopper B jumps at a takeoff angle of 58 above the horizontal. Which froghopper experiences the greatest change in kinetic energy from the start of the jump to when it reaches the leaf? Candice is a jewelry shop owner, specializing in beaded necklaces. For each of the following inputs, classify each item as a variable input or a fixed input in the long run.i. Shippingii. Chairsiii. Upper Managment salaryiv. Beadsv. Hourly Labourvi. Computersvii. 2 years Lease on office and rental space Carbon dioxide enters an adiabatic compressor at 100 kPa and 300K at a rate of 0.5 kg/s and leaves at 600 kPa and 450K. Neglecting kinetic energy changes, determine a) the volume flow rate of the carbon dioxide at the compressor inlet (Ans. around 0.3 m3/s) and b) the power input to the compressor (Ans. around 70 kW). When students are forced to wear uniforms, they cannot be themselves.When students are forced to wear uniforms, they cannot be themselves.Dexter is giving a speech at next week's school board meeting to argue against adopting school uniforms. Which sentence includes descriptive details and would BEST be used in place of this one?A)When students are forced to wear uniforms, they do not get to wear the clothes they really want to wear.B)When students are forced to wear uniforms, they lose the opportunity to show individuality and creativity.C)When students are forced to wear uniforms, they often feel like they cannot dress the way they want to dress.D)When students are forced to wear uniforms, they have to wear clothes that they did not choose for themselves. Consider a spring that does not obey Hookes law very faithfully. One end of the spring is fixed. To keep the spring stretched or compressed an amount x, a force along the x-axis with x-component Fx=kxbx2+cx3 must be applied to the free end. Here k = 100 N/m, b=700N/m2, and c=12,000N/m3. Note that x < 0 when the spring is stretched and x > 0 when it is compressed. How much work must be done (a) to stretch this spring by 0.050 m from its unstretched length? (b) To compress this spring by 0.050 m from its unstretched length? (c) Is it easier to stretch or compress this spring? Explain why in terms of the dependence of Fx on x. (Many real springs behave qualitatively in the same way.) On what geographic feature was Rome built?O cliffsO mountainsO canyonsWOhills At a large bank, account balances are normally distributed with a mean of $1,637.52 and a standard deviation of $623.16. What is the probability that a simple random sample of 400 accounts has a mean that exceeds $1,650? Suppose the radius of a cylinder changes, but its volume stays the same. How must the height of the cylinder change? Tina bake some cookies 1/2 of her cookies with peanut butter 1/2 of the peanut butter cookies also have chocolate chips what fraction of the cookies were peanut butter and have chocolate chips Use place value understanding to round decimals to any place.Question 1:Round 15.26 to the nearest tenth. Draw a number line to justify your answer.Question 2:Mitch. Josh, and Aaron are buying new mountain bikes. Mitch is getting his bike on sale for $ 229.49. Josh's costs $379.97. Aaron's costs $334.95. Round each mountain bike price to the nearest dollar. Which of the following vaccines should NOT be stored frozen? Group of answer choices Pneumococcal polysaccharide vaccine Varicella vaccine Zoster vaccine live Measles, mumps, rubella vaccine Where did the pollution from acid rain and the factory eventually end up?O airO groundwaterlakesrivers what is extrema for f(x)= x^2-18x+19 Steam Workshop Downloader